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NeTakaya
3 years ago
10

Which statement about the quadratic equation below is true? 3x^2-27=0

Mathematics
1 answer:
Crazy boy [7]3 years ago
8 0

Answer:

C

Step-by-step explanation:

3x^2 - 27 = 0;    add 27 to both sides

3x^2 = 27;         divide both sides by 3

x^2 = 9

And the solutions to x^2 = 9 are 3 and -3

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If enrollment increases by approximately the same
Tanya [424]

Given:

The enrollment increases by approximately the same percentage between 2000 and 2010 as it decreased between 1950 and 1960.

To find:

The expected enrollment in 2010.

Solution:

Percentage decrease formula:

\%\text{ decrease}=\dfrac{\text{Initial value - New value}}{\text{Initial value}}\times 100

The percentage decrease in between 1950 and 1960 is:

\%\text{ decrease}=\dfrac{4-3.5}{4}\times 100

\%\text{ decrease}=\dfrac{0.5}{4}\times 100

\%\text{ decrease}=\dfrac{50}{4}

\%\text{ decrease}=12.5

The enrollment decreased by 12.5% between 1950 and 1960. So, the enrollment increases by 12.5% between 2000 and 2010.

The expected enrollment in 2010 is:

\text{Expected enrollment}=7+\dfrac{12.5}{100}\times 7

\text{Expected enrollment}=7+0.875

\text{Expected enrollment}=7.875

Therefore, the expected enrollment in 2010 is 7.875 thousands.

4 0
3 years ago
What are the coordinates of the vertex of the parabola represent by the equation y=-5x^2+30x-25
Jobisdone [24]

Answer:

The coordinate of the  vertex of the parabola is (h,k) =  (3,20)

Step-by-step explanation:

The given equation of the parabola is y=-5x^2+30x-25

Now, the General Parabolic Equation is of the form:

y = a (x-h)^2 + k, then the vertex is the point (h, k).

Now, to covert the given equation in the standard form:

y=-5x^2+30x-25   = -5(x^2  -6x   + 5)

Using the COMPLETE THE SQUARE METHOD,

-5(x^2  -6x   + 5)  = -5(x^2  -6x  +  (3)^2 +  5  - (3)^2)\\\implies -5(((x^2  -6x +(3)^2)  + 5 - 9)\\= -5((x-3)^3 -4)\\= -5(x-3)^2 + 20

ory = -5(x-3)^2 + 20

⇒The general formed equation of the given parabola is

y  = -5(x-3)^2 + 20

Comparing this with general form, we get

h = 3, k = 20

Hence, the coordinate of the  vertex of the parabola is (h,k) =  (3,20)

5 0
4 years ago
Please hurry I need an answer
kotegsom [21]

Answer: The answer is 4

Step-by-step explanation:

Hope this helps.

7 0
3 years ago
Read 2 more answers
Mrs. Harrison borrows $600 to pay for a new phone. The simple interest on the loan is 9% for one year.
Lelu [443]

Answer:

$654

Step-by-step explanation:

600*1.09=654

6 0
3 years ago
Read 2 more answers
Suppose y varies directly with x. Write an equation if y=-4 when x=2.
taurus [48]

Answer:

y=8x-20

Step-by-step explanation:

When you plug in the given variables (y=-4 & x=2) and solve you get the right answer.

Ways to check:

-4=8x-20 and solve for x

-or-

y=8(2)-20 and solve for y

7 0
4 years ago
Read 2 more answers
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